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Finding the Fourth Proportional to 68,560.77, 102,854.03 and 31,123.47

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Solution

The fourth proportional to 68,560.77, 102,854.03 and 31,123.47 is: 46,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,560.77 : 102,854.03 = 31,123.47 : x
  2. Step 2: Convert to fraction form
    68,560.77/102,854.03 = 31,123.47/x
  3. Step 3: Cross multiply
    68,560.77x = 102,854.03 × 31,123.47
  4. Step 4: Simplify right side
    68,560.77x = 3,201,174,317.08
  5. Step 5: Solve for x
    x = 3,201,174,317.08/68,560.77
  6. Step 6: Final answer
    x = 46,691.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.